Answer:
An economist would view a monopoly as not beneficial and optimal to society. A businessperson would view monopolies as a great idea to maximize profits due to the lack of competitionExplanation:
hope it's helps you if i am sorry if my answer is wrong
The new office supply discounter, Paper Clips, Etc. (PCE), sells a certain type of ergonomically correct office chair. The annual holding cost per unit is $25, annual demand is 180,000 chairs, and the ordering cost is $150 per order. The lead time is 5 days. Because demand is variable (standard deviation of daily demand is 30 chairs), PCE has decided to establish a customer service level of 96%. The store is open 300 days per year.
Required:
a. What is the optimal order quantity?
b. What is the safety stock?
c. What is the reorder point?
d. What is the optimal annual total inventory cost?
Solution :
Given data:
Annual demand, D = 180,000 chairs
Ordering cost, F = $ 150 per order
Annual holding cost per unit, C = $25
Lead time of order, L = 5 days
Standard deviation of order during lead time = 30
a). The optimal order quantity
[tex]$=\sqrt{\frac{2FD}{C}}$[/tex]
[tex]$=\sqrt{\frac{2\times 150 \times 180,000 }{25}}$[/tex]
= 1469.69
= 1470 (rounding off)
b). The Z value of the customer service of 90%,
i.e., the probability of 0.90 as per normal distribution table = 1.29
∴ Safety stock = Z value x standard deviation of order during lead time
= 1.29 x 30
= 38.7
= 39 (rounding off)
c). The reorder point
[tex]= \text{Average demand per day} x \text{Demand lead time (day) + Safety stock}[/tex]
[tex]$=\frac{\text{annual demand}}{\text{300 days}} \times \text{ Demand Lead time (days) + Safety stock}$[/tex]
[tex]$=\frac{180,000}{300} \times 5 + 39$[/tex]
= 3039
d). The optimal annual total inventory cost
[tex]$\text{= Annual ordering cost + Annual Inventory carrying cost}$[/tex]
[tex]$\text{= Number of orders} \times \text{Ordering cost + Average inventory} \times }$[/tex] [tex]$\text{Inventory holding cost per unit per year}$[/tex]
[tex]$=\frac{\text{annual demand}}{\text{optimum order quantity}} \times \text{ordering cost+}\frac{\text{optimum ordering cost}}{2}\times C$[/tex]
[tex]$=\frac{180,000}{1470} \times 150 + \frac{1470}{2} \times 25$[/tex]
= 18367.34 + 18375
= $ 36,742.34
mention any four components of the marketing communication policy
Answer:
Mix advertising, public relations, sales promotion and personal selling
How does your new budget help you to meet your long-term goal of saving for college?
Answer:
make sure in the budget your savings are enough for college in the time you want
that is the expenditure must not over wegh the income...you should save as much as possible
Answer:
A budget helps create financial stability.
Explanation:
Why is budgeting crucial for college students?Budgeting assists you in achieving your academic and financial objectives.
A budget will also assist you in anticipating unforeseen costs and challenges. Budgeting necessitates difficult decision-making, but creating goals will make the process easier.
How can Budgeting helps individual?A budget aids in financial security A budget makes it simpler to pay bills on time, develop an emergency fund, and save for significant purchases like a car or home by tracking costs and sticking to a plan. A budget, in general, puts a person on a better financial footing in the short and long term.Goal of Budget-A budget is used to plan, manage, track, and improve one's financial status. In other words, a budget keeps you on track toward your long-term financial goals by allowing you to regulate your spending and consistently save and invest a percentage of your income.
Learn more about Budgeting here-
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Durban Metal Products, Ltd., of the Republic of South Africa makes specialty metal parts used in applications ranging from the cutting edges of bulldozer blades to replacement parts for Land Rovers. The company uses an activity-based costing system for internal decision-making purposes. The company has four activity cost pools as listed below: Activity Cost Pool Activity Measure Activity Rate Order size Number of direct labor-hours $ 16.40 per direct labor-hour Customer orders Number of customer orders $ 363.00 per customer order Product testing Number of testing hours $ 71.00 per testing hour Selling Number of sales calls $ 1,488.00 per sales call The managing director of the company would like information concerning the cost of a recently completed order for heavy-duty trailer axles. The order required 180 direct labor-hours, 13 hours of product testing, and 6 sales calls.Required: Prepare a report summarizing the overhead costs assigned to the order for heavy-duty trailer axles. What is the total overhead cost assigned to the order?
Answer:
Total allocated costs= $13,266
Explanation:
To calculate the costs allocated to the order, we need to use the following formula:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Order size= 16.40*180= 2,952
Customer orders= 363*1= 363
Product testing= 71*13= 923
Selling= 1,488*6= 8,928
Total allocated costs= $13,266
Jeff owns an American put option on 100 shares of ABC stock. The option has a strike price of $32.50 and a September expiration date. The stock has recently been declining in value, currently sells for $27.65 per share, and is expected to continue declining in value. Ignore all costs and taxes. If today is Wednesday, August 14, he: Group of answer choices
Answer: b. can exercise his option and earn a profit.
Explanation:
Put options make a profit when the underlying stock sells for less than the strike price of the option. Furthermore, an American put option can be sold at any time before the option expires.
Jeff can therefore exercise the put option and make a profit today of:
= (32.50 - 27.65) * 100 shares
= $485.00
Here is some price information on Fincorp stock. Suppose first that Fincorp trades in a dealer market. Bid Asked 55.25 55.50 a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? (Round your answer to 2 decimal places.) b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? (Round your answer to 2 decimal places.)
Answer:
a. Your trade will be executed at the bid price of 55.25.
b. Your trade will be executed at the ask price of 55.50.
Explanation:
First note that:
The bid price is the highest price a buyer will pay for a security.
The ask price is the lowest price a seller will accept for a security.
Therefore, we have:
a. Suppose you have submitted an order to your broker to buy at market. At what price will your trade be executed? (Round your answer to 2 decimal places.)
Since you are the buyer, your trade will be executed at the bid price of 55.25. This is because the bid price is the highest price you as a buyer will pay for a security.
b. Suppose you have submitted an order to sell at market. At what price will your trade be executed? (Round your answer to 2 decimal places.)
Since you are the seller, your trade will be executed at the ask price of 55.50. This is beecausee the ask price is the lowest price uou as a seller will accept for a security.
Even though most corporate bonds in the united states make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. suppose a german company issues a bond with a par value of 1000 euros, 23 years to maturity, and a coupon rate of 5.8 percent paid annually.
Required:
If the yield to maturity is 7.5 percent, what is the current price of the bond?
Answer:
Bond Price= 816.29
Explanation:
Giving the following information:
YTM= 0.075
Coupon= 0.058*1,000= 58
Years to maturity= 23 years
Face value= 1,000
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 58*{[1 - (1.075^-23)] / 0.075} + [1,000/(1.075^23)]
Bond Price= 626.79 + 189.5
Bond Price= 816.29
Jenny Manufactures sold toys listed at $360 per unit to Jack Inc. for $306, a trade discount of 15 percent. Jack Inc. in turn sells the toys in the market at $335. Jenny should record the receivable and related sales revenue (per unit) at: Group of answer choices $360 $335 $306 $285
Answer:
$306
Explanation:
Based on the information given Jenny should record the receivable and related sales revenue (per unit) at $306 reason been that we were told JENNY MANUFACTURES SOLD TOYS THAT WAS LISTED AT THE AMOUNT OF $360 PER UNIT TO JACK INC. FOR THE AMOUNT OF $306.
Hence, Jenny will record the RECEIVABLE AND RELATED SALES REVENUE (per unit) at $306.
Assume that Nortel manufactures specialty electronic circuitry through a unique photoelectronic process. One of the primary products, Model ZX40, has a standard labor time of 0.5 hour and a standard labor rate of $12.50 per hour. During February, the following activities pertaining to direct labor for ZX40 were recorded:
Direct labor hours used 2,230
Direct labor cost $34,000
Units of ZX40 manufactured 4,800
Required:
a. Determine the labor rate variance.
b. Determine the labor efficiency variance.
c. Determine the total flexible budget labor cost variance.
Answer:
A = $6,125
B = $2,125
C = $6,125
Explanation:
Standard Labor Time = 0.5 hours, Standard Labor rate = $12.50 per hour, Standard Time = 4800 * 0.5hour P U = 2400 hours
Actual labor time used = 2,230, Direct labor Cost = $34,000 per hour =$15.25 , Units manufactured = 4,800
(a) Labor Rate Variance = Actual Cost - standard cost of Actual Hours = $34,000 - ($12.50 * 2230) = $34,000 - $27,875 = $6,125 Favorable
(b) Labor Efficiency Variance = Standard Cost of Actual Hours - Standard Cost = (2,230 * 12.50) - (12.50 * 2400) = $27,875 - $30,000 = $2,125 Unfavorable
(c) Flexible budget labor cost variance = Flexible Budget cost - Actual Cost = (Actual qty * Std Rate) - (Actual qty - Actual Rate) = (2,230 * $12.50) - $34,000 = $27,875 - $34,000 = $6,125 Unfavorable
Classity each of the following items as a final good or an intermediate good, and classifly the expenditure on each final good.
Item 1. A DVD bought by a household.
item 2. New computers bought by PepsiCo
Item 3. New aircraft bought by Southwest Airlines
item 4. Fertilizer bought by a Florida tomato grower.
Item 1 is ________ and Item 2 _________.
Answer:
Item 1. A DVD bought by a household. - This is a final good, to be used for entertainment purposes, and a consumption expenditure.
item 2. New computers bought by PepsiCo - This is a final good, meant to be used for administrative purposes by PepsiCo. It is an investment expenditure because the new computers are an asset.
Item 3. New aircraft bought by Southwest Airlines - This is a final good, to be used as an asset by the airline in order to transport passengers from one place to another. This is an investment expenditure because the aircraft will be used to produce economic benefits for the company.
item 4. Fertilizer bought by a Florida tomato grower - This is an intermediate good, because it is bought in order to be used in the production process of another good, an agricultural product. This is an investment expenditure, because it is essentially intermediate inventory, a type of asset, and assets are investments.
Early in the year,manager John Jacobs set reasonable,understandable,and measurable performance standards and communicated these standards clearly to all team members.Because of these efforts,he should be prepared for the next step in the appraisal process. The first two steps in performance appraisal are establishing performance standards and communicating them to subordinates.The third step is to evaluate performance,and if the first two steps are done correctly,this step is relatively easy.
A. True
B. False
Answer:
A. True
Explanation:
Performance evaluation of an employee should be based on his performance. He should be communicated with expected performance and then analysis should be done against standard and actual performance. When John Jacob has set performance standards and clearly communicates it to all team members the appraisal process would be relatively easy.
Indicate whether each of the following transactions represents the purchase of a final good.
a. the purchase of wheat from a wheat farmer by a bakery.
b. the purchase of an aircraft carrier by the federal goverment
c. the purchase of frenche wine by a U.S. consumer
d. the purchase of a new airliner by American Airlinesa
Answer:
b. the purchase of an aircraft carrier by the federal goverment - purchase of a final good.
c. the purchase of frenche wine by a U.S. consumer - purchase of a final good.
d. the purchase of a new airliner by American Airlinesa - purchase of a final good.
Explanation:
A final good is a good that is consumed directly by consumers
Purchase of final good can be classfied into :
Consumption spending includes spending by households on goods and services. Consumption spending includes :
spending on durables - e.g. laptop
spending on nondurables - e.g. clothes, food
spending on services - e.g. payment of hospital bill
the purchase of french wine is an example of consumption spending on nondurable goods
Investment - It includes purchases of goods and services made by businesses in the production of goods and services
the airplane purchased by the airline would be used to provide services for airline customers.
Government spending - It includes government consumption expenditure and gross investment. Consumption spending includes spending by households on goods and services. Consumption spending includes :
spending on durables - e.g. laptop
spending on nondurables - e.g. clothes, food
spending on services - e.g. payment of hospital bill
the purchase of a textbook by a student is an example of consumption spending on durable goods
Investment - It includes purchases of goods and services made by businesses in the production of goods and services
the airplane purchased by the airline would be used to provide services for airline customers.
Government spending - It includes government consumption expenditure and gross investment. The purchase of a new limousine for the president is an example of consumption expenditure
An intermediate good is a good that is used in the production of the final good. e.g. tthe purchase of wheat from a wheat farmer by a bakery would be used to make pastries.
You have just deposited $9,000 into an account that promises to pay you an annual interest rate of 6.1 percent each year for the next 7 years. You will leave the money invested in the account and 15 years from today, you need to have $25,650 in the account. What annual interest rate must you earn over the last 8 years to accomplish this goal
Answer:
Annual interest rate = 8.23%
Explanation:
The annual interest rate i must have earn over the last 8 years to accomplish this goal is:
= ((25650/(9000*(1+6.1%)^7))^(1/8))-1
= ((25650/(9000*1.513588))^(1/8)) - 1
= ((25650/13622.29)^(1/8) - 1
= 1.882943323038931^(1/8) - 1
= 1.08231743862 - 1
= 0.08231743862
= 8.231743862%
= 8.23%
"All three levels are required to run an organization or a business smoothy"Justify the statement.
Answer:
"All three levels are required to run an organization or a business " according to my point of view it is true without anyone levels (sector) business or organization not imagine to run
Since the middle of the 20th century, the international global business system has been shaped by global institutions. Countries have established these institutions to address the global issues that span their borders.
a. True
b. False
Answer:
a. True
Explanation:
This statement is correct, as global institutions were created with the objective of regulating global business from international treaties, which implemented a set of rules and regulations that must be followed by all organizations in a global market, as a form of protection to organizations, society and the environment, such as legislative and economic changes, crises and possible negative impacts inherent to organizations in a global business system.
A company is evaluating a new 4-year project. The equipment necessary for the project will cost $3,500,000 and can be sold for $715,000 at the end of the project. The asset is in the 5-year MACRS class. The depreciation percentage each year is 20.00 percent, 32.00 percent, 19.20 percent, 11.52 percent, and 11.52 percent, respectively. The company's tax rate is 34 percent. What is the aftertax salvage value of the equipment?
Hint: 1. Find the remaining book value at the end. 2. Subtract this from the expected sale price to find the gain on sale. 3. Apply the tax rate to this gain to find the taxes owed. 4. The after-tax salvage value is the sale price minus the taxes.
a) $715,000.
b) $752,468.
c) $540,444.
d) $677,532.
e) $471,900.
Answer:
d) $677,532.
Explanation:
1.
Written down value of the equipment after 4 years = Cost x ( 100% - 1st year MACRS - Second-year MACRS - Third-year MACRS - Fourth-year MACRS ) = $3,500,000 x ( 100% - 20% - 32% - 19.20% - 11.52% ) = $604,800
2.
Now calculate the gain on the sale of equipment
Gain on the sale of equipment = Sale Price - Written down Value after 4 years = $715,000 - $604,800 = $110,200
3.
Tax owed = Gain on the sale x Tax rate = $110,200 x 34% = $37,468
After-tax salvage value = Sales price - Tax = $715,000 - $37,468 = $677,532
MC algo 8-18 Valuing Stock Asonia Co. will pay a dividend of $5.10, $9.20, $12.05, and $13.80 per share for each of the next four years, respectively. The company will then close its doors. If investors require a return of 9.4 percent on the company's stock, what is the stock price?
a. $3708
b. $32.88
c. $42.38
d. $3119
e. $35.41
Answer:
d. $31.19
Explanation:
The computation of the stock price is shown below
Stock Price is
= [$5.10 ÷ (1 + 0.094)^1 + $9.20 ÷ (1 + 0.094)^2 + $12.05 ÷ (1 + 0.094)^3 + $13.80 ÷ (1+0.094)^4]
= $4.66 + $7.69 + $9.20 + $9.63
= $31.19
hence, the option d is correct
What is the loan balance (in dollars) after the third payment, of a 5 year loan of $100,000 with an APR of 10% and annual payments
Rosalia White will invest $3,000 in an IRA for the next 30 years starting at the end of this year. The investment will earn 13 percent annually. How much will she have at the end of 30 years
Answer:
$879,597.65
Explanation:
The future value of an ordinary annuity formula is applicable in this case, since an ordinary annuity is such that payments into the accounts are expected to occur at the end of the periods rather than at the beginning of each year:
FV=yearly payment*(1+r)^n-1/r
yearly payment=$3,000
r=13%
n=number of annual payments =30
FV=$3000*(1+13%)^30-1/13%
FV=$3000*(1.13)^30-1/0.13
FV=$3000*(39.11589796-1)/0.13
FV=$3000*38.11589796/0.13
FV=$879,597.65
Pope’s Garage had the following accounts and amounts in its financial statements on December 31, 2019. Assume that all balance sheet items reflect account balances at December 31, 2019, and that all income statement items reflect activities that occurred during the year then ended.
Accounts receivable $33,000
Depreciation expense 12,000
Land 27,000
Cost of goods sold 90,000
Retained earnings 59,000
Cash 9,000
Equipment 71,000
Supplies 6,000
Accounts payable 23,000
Service revenue 20,000
Interest expense 4,000
Common stock 10,000
Income tax expense 12,000
Accumulated depreciation 45,000
Long-term debt 40,000
Supplies expense 14,000
Merchandise inventory 31,000
Sales revenue 140,000
Required:
a. Calculate the total current assets at December 31, 2019.
b. Calculate the total liabilities and owners’ equity at December 31, 2019.
c. Calculate the earnings from operations (operating income) for the year ended December 31, 2019.
d. Calculate the net income (or loss) for the year ended December 31, 2019.
e. What was the average income tax rate for Pope’s Garage for 2019?
f. If $16,000 of dividends had been declared and paid during the year, what was the January 1, 2019, balance of retained earnings?
Answer and Explanation:
a. The computation of the total current asset is shown below
= Account receivable + cash + supplies + merchandise inventory
= $33,000 + $9,000 + $6,000 + $31,000
= $79,000
b The total liabilities and owners equity is
= Account payable + long term debt + common stock + retained earnings
= $23,000 + $40,000 + $10,000 + $59,000
= $132,000
c. The earnings from operations is
Sales revenue $140,000
Less cost of goods sold $90,000
Gross profit $50,000
add: service revenue $20,000
Less depreciation expense $12,000
Less supplies expense $14,000
Operating income $44,000
d. The net income is
= operating income - interest expense - income tax expense
= $44,000 - $4,000 - $12,000
= $28,000
e. The average income tax rate is
= $12,000 ÷ $40,000 × 100
= 30%
f. The beginning retained earnings is
= $59,000 + $16,000 - $28,000
= $47,000
Zebra Company sells a segment of its operations at a loss. Zebra has not previously experienced such an event and does not expect to again. The loss from the disposal of the segment should be reported in the income statement as: Select one: A. A separate amount in comprehensive income B. A separate amount in net income from continuing operations C. A separate amount in a discontinued operations section D. As part of cost of goods sold
Answer:
C. A separate amount in a discontinued operations section
Explanation:
Since in the given situation it is mentioned that zebra co sells the segment at a loss so this loss from the sale of the segment that should be reported in the income statement as the distinct amount in the discontinued operating section as the same below the income from continuing operations
Hence, the correct option is c.
Answer:
The answer is "Option C".
Explanation:
The discontinued operations are parts of a company's core business or product line that have been sold or shut down and thus are reported separately on the financial statements from ongoing operations. As a result, any loss from the sale of the segment should indeed be reported as a separate amount inside the income statement's discontinued operations column.
Standard and actual costs for direct materials for the manufacture of 1,000 units of product were as follows:
Actual costs 1,550 lbs. at $9.10
Standard costs 1,600 lbs. at $9.00
Determine the (a) quantity variance, (b) price variance, and (c) total direct materials cost variance. Enter favorable variances as negative numbers.
a. Quantity variance $______
b. Price variance $______
c. Total direct materials cost variance
Answer and Explanation:
The computation is shown below;
a.
Materials quantity variance is
= (Actual quantity used × Standard price) - (Standard quantity allowed × Standard Price)]
= (1550 × 9.00) - (1600 × 9.00)
= $(450.00)
= $450 favorable
b.
Direct materials price variance is
Materials Price Variance = (Actual quantity purchased × Actual price) - (Actual quantity purchased × Standard price)
= (1550 × 9.10) - (1550 ×$9.00)
= $155
= $155 unfavorable
c.
Total direct materials cost variance is
= Materials quantity variance + Direct materials price variance
= -$450 + $155
= -$295
= $295 Favorable
Please help I don’t understand
XYZ Tile Installation Corporation measures its activity in terms of square feet of tile installed. Last month, the budgeted level of activity was 1,180 square feet and the actual level of activity was 1,270 square feet. The company's owner budgets for supply costs, a variable cost, at $3.50 per square foot. The actual supply cost last month was $4,980. What would have been the spending variance for supply costs
Answer:
The appropriate solution is "$535 U". A further explanation is described below.
Explanation:
The given values are:
Actual level of activity,
= 1270
Budgeted variable cost,
= $3.50
Actual supply cost,
= $4980
Now,
The spending variance for supply costs will be:
= [tex](Actual \ level \ of \ activity\times Budgeted \ variable \ cost)\times Actual \ supply \ cost[/tex]
= [tex](1270\times 3.50)-4980[/tex]
= [tex]4445-4980[/tex]
= [tex]535[/tex] (unfavorable)
If a court determines that a manager's corporate decision amounted to self-dealing, a. the manager is automatically personally liable to the corporation. b. the transaction being challenged will be automatically voided. c. the manager will automatically be fired. d. the business judgment rule will not apply.
Answer:
d. the business judgment rule will not apply.
Explanation:
A corporation can be defined as a corporate organization that has facilities and owns or controls assets used for the production of goods and services in at least one country other than its headquarter (home office) located in its home country.
One of the advantage of a corporation is that, owners have limited liability for debt to the extent to which they have invested and as such are not personally liable for some of debt owed by corporation.
A manager can be defined as an individual who is saddled with the responsibility of providing guidance, support, supervision, administrative control, as well as acting as a role model or example to the employees working in an organization by being morally upright.
Generally, managers are typically involved in taking up leadership roles and as such are expected to be build a strong relationship between their employees or subordinates by creating a fair ground for effective communication and sharing of resources and information. Also, they are required to engage their staff members (entire workforce) in the most efficient and effective manner.
In Business management, if a court of competent jurisdiction determines that a manager's corporate decision amounted to self-dealing i.e putting his or her own interests first, the business judgment rule will not apply.
Generally, in order for the business judgement rule to apply, it is expected or required that a manager should act in the best interest of a corporation.
What is the present value of a 10-year annuity of $3,000 per period in which payments come at the beginning of each period
Answer: $18984.9
Explanation:
Your question isn't complete as you didn't give the interest rate. Let's assume that the interest rate is 12%.
Therefore, the present value will be:
= 3000 + 3000[1 - (1 + 0.12)^-10+1] / 0.12
= 3000 + (3000 × 5.3283)
= 3000 + 15984.9
= 18984.9
Therefore, the present value is $18984.9
On June 30, Collins Management Company purchased land for $640,000 and a building for $960,000, paying $800,000 cash and issuing a 7% note for the balance, secured by a mortgage on the property. The terms of the note provide for 20 semiannual payments of $40,000 on the principal plus the interest accrued from the date of the preceding payment.a. Journalize the entry to record the transaction on June 30. June 30.b. Journalize the entry to record the payment of the first installment on December 31. Dec. 31.c. Journalize the entry to record the payment of the second installment the following June 30. Assume a 360-day year
Answer:
hhd
soon after the following URLS
During 2019, $27,000 of cash dividends were declared and paid. A patent valued at $80,000 was obtained in exchange for land. Equipment that originally cost $20,000 and had $7,000 accumulated depreciation was sold for $13,000 cash. Bonds payable were sold for cash and cash was used to pay for structural improvements to the building. Required a. Compute the change in cash that occurred during 2019. b. Prepare a statement of cash flows using the indirect method
Answer:
a. Change in Cash that occurred during 2019:
Cash outflow $27,000
Cash inflow = $13,000
Net outflow = $14,000
b. Statement of Cash Flows for the year ended December 31, 2019:
Investing activities:
Sale of Equipment $13,000
Financing activities:
Payment of dividends ($27,000)
Net cash outflow = $14,000
Explanation:
a) Data and Calculations:
Cash dividends paid during 2019 = $27,000
Patent purchased = $80,000
Land sold in exchange of patent = $80,000
Sale of equipment = $13,000
Sales of Bonds Payable = Cost of Building Improvements
The Widget Co. can produce widgets according to the formula: q = 5K^3/4 L^1/4 where q is the output of widgets, and K, L are the quantities of capital and labor used.
a. Are there constant, increasing or decreasing returns to scale in widget production? Explain.
b. Are there, constant, increasing or decreasing marginal products of factors? Explain
c. In the short run, the amount of capital used by company A. is fixed. Derive the short-run cost function. (Note that the short-run cost function will show C as a function of Q, K and the factor prices w and r.)
d. Derive the long-run cost function.
Answer:
A) Constant Return to Scale
B) Decreasing Marginal Products
C) Short Run Cost Function = w*(Q/5)4 *(1/K`3) + rK`
D) (2Q/5)*(r3/4)*(w1/4)
Explanation:
A) Q(tL,tK) = 5*(tK)3/4*(tL)1/4
= t*Q(L,K)
Hence it exhibits constant return to scale
B) Here MPK = dQ/dK
= (3/4)* 5*L1/4*K-1/4
So dMPK/dK = (-3/16)*5*L1/4*K-5/4
Hence dMPK/dK < 0
thus exhibits decreasing Marginal Products
(Similarly for Labor also)
C) let K is fixed at K`
So Q = 5*K`3/4*L1/4
So L = (Q/5)4*(1/K`3)
So Short Run Cost Function = w*L + r*K`
C = w*(Q/5)4 *(1/K`3) + rK`
D) in long run, MRTS = MPL / MPK = w/r
So K/L = w/r
Thus rK = wL
So from production function
Q = 5*(wL/r)3/4*L1/4
= 5*(w/r)3/4*L
L* = (Q/5)*(r/w)3/4
similarly K* = (Q/5)*(w/r)1/4
so Long Run Cost Function = wL* + rK*
= (2Q/5)*(r3/4)*(w1/4)
The contribution margin ratio is 25% for Grain Company and the break-even point in sales is $200,000. To obtain a target net operating income of $60,000, sales would have to be:_____.
A. $260,000.
B. $440,000.
C. $280,000.
D. $240,000.
Answer:
Option B. 440000
Explanation:
Given the contribution margin = 25%
Sales at break-even point = $200000
Net operating income = $60000
Sales at break even point = TFC / contribution margin ratio
200000 = TFC / 25%
TFC = 50000
Now find the net income:
Net income = Contribution margin - Fixed cost
60000 = Contribution margin - 50000
Contribution margin =60000 + 50000 = 110000
Sales revenue = Contribution margin / contribution ratio
Sales revenue = 110000 / 0.25 = 440000
